The Stefan PDE system is a representative model for thermal phase change phenomena,
such as melting and solidification, arising in numerous science and engineering processes …

The so-called Stefan system describes the dynamical model of the liquid–solid phase
change in materials ranging from water and ice in the polar caps to metal casting and …

The availability of wildland fire propagation models with parameters estimated in an
accurate way starting from measurements of fire fronts is crucial to predict the evolution of …

Ice melts into water in a hot environment. Conversely, water freezes into ice in a cold
environment. These phenomena are generally called “phase changes” between the liquid …

Recent rapid loss of the Arctic sea ice motivates the study of the Arctic sea ice thickness.
Global climate model that describes the ice thickness evolution requires an accurate spatial …

In this article, we develop a cut finite element method for one-phase Stefan problems with
applications in laser manufacturing. The geometry of the workpiece is represented implicitly …

We address the optimal control of level sets associated with the solution of the normal flow
equation. The problem consists in finding the normal velocity to the front described by a …

This paper proposes a front-tracking fixed grid method for solving Stefan problem with
moving phase change materials in any arbitrary (irregular) bounded domains. To achieve …

We develop a continuous adjoint formulation for controlling the deformation of clean,
neutrally buoyant droplets in Stokes flow. The focus is on surface tension-driven flows where …

The classical two-phase Stefan problem in level set formulation is considered. The
implementation of a solver on triangular grids is described. Extended finite elements (X …